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Simplifying -3x(x + -8) + -5 = 9(x + 2) + 1 Reorder the terms: -3x(-8 + x) + -5 = 9(x + 2) + 1 (-8 * -3x + x * -3x) + -5 = 9(x + 2) + 1 (24x + -3x2) + -5 = 9(x + 2) + 1 Reorder the terms: -5 + 24x + -3x2 = 9(x + 2) + 1 Reorder the terms: -5 + 24x + -3x2 = 9(2 + x) + 1 -5 + 24x + -3x2 = (2 * 9 + x * 9) + 1 -5 + 24x + -3x2 = (18 + 9x) + 1 Reorder the terms: -5 + 24x + -3x2 = 18 + 1 + 9x Combine like terms: 18 + 1 = 19 -5 + 24x + -3x2 = 19 + 9x Solving -5 + 24x + -3x2 = 19 + 9x Solving for variable 'x'. Reorder the terms: -5 + -19 + 24x + -9x + -3x2 = 19 + 9x + -19 + -9x Combine like terms: -5 + -19 = -24 -24 + 24x + -9x + -3x2 = 19 + 9x + -19 + -9x Combine like terms: 24x + -9x = 15x -24 + 15x + -3x2 = 19 + 9x + -19 + -9x Reorder the terms: -24 + 15x + -3x2 = 19 + -19 + 9x + -9x Combine like terms: 19 + -19 = 0 -24 + 15x + -3x2 = 0 + 9x + -9x -24 + 15x + -3x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 15x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + 5x + -1x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + 5x + -1x2)' equal to zero and attempt to solve: Simplifying -8 + 5x + -1x2 = 0 Solving -8 + 5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 8 + -5x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -5x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x + x2 = 0 + -8 -5x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5x + x2 = -8 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -8 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -8 + 6.25 Combine like terms: -8 + 6.25 = -1.75 6.25 + -5x + x2 = -1.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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